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Fractional instantons in supersymmetric gauge theories

Maxim Zabzine
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Abstract

We consider evidence for the existence of gauge configurations with fractional charge in pure N=1 supersymmetric Yang-Mills theory . We argue that these field configurations are singular and have to be treated as distributions. It is shown that the path integral representation of constant Green's functions can be reduced to a finite dimensional integral. The fractional configurations are essentially the zero size limit of the usual instantons and they have a reduced number of fermionic zero modes. At the end we comment on the status of the D-instanton/YM-instanton correspondence within AdS/CFT correspondence.

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Maxim Zabzine. 1998-08-28. Fractional instantons in supersymmetric gauge theories. https://arxiv.org/abs/hep-th/9807120

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